For the following exercises, find the area of the surface obtained by rotating the given curve about the x—axis. 121. [T] Use a CAS to find the area of the surface generated by rotating x = t + t 3 , y = t − 1 t 2 , 1 ≤ t ≤ 2 about the x—axis. (Answer to three decimal places.)
For the following exercises, find the area of the surface obtained by rotating the given curve about the x—axis. 121. [T] Use a CAS to find the area of the surface generated by rotating x = t + t 3 , y = t − 1 t 2 , 1 ≤ t ≤ 2 about the x—axis. (Answer to three decimal places.)
For the following exercises, find the area of the surface obtained by rotating the given curve about the x—axis.
121. [T] Use a CAS to find the area of the surface generated by rotating
x
=
t
+
t
3
,
y
=
t
−
1
t
2
,
1
≤
t
≤
2
about the x—axis. (Answer to three decimal places.)
Problem #5
Section A of my math class has 110 students. Section B of my math class has 80 students.
a). If I randomly select 15 students from the combined classes, in a way that the order of my
selection does not matter, what is the probability that all 15 students can from Section A?
b). If I randomly select 15 students from the combined classes, in a way that the order of my
selection does not matter, what is the probability that all 15 students can from Section B?
c). If I randomly select 15 students from the combined classes, in a way that the order of my
selection does not matter, what is the probability that all 7 students come from section A and 8
students come from section B?
Problem #6
A special passcode to unlock your phone consists of 4 digits where repeated digits are not
allowed. If someone were to randomly guess a 4 digit passcode, what is the probability that
they guess your passcode on the first try?
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